4/15 divided by 8/25

Final answer:

The truth value of the conditional statement 'If the snow is white, then the grass is red' cannot be determined to be true or false without context, as it is a statement that requires evaluation of its antecedent and consequent. In logic, a conditional statement is true unless the antecedent is true and the consequent is false.

Explanation:

The truth value for the conditional statement "If the snow is white, then the grass is red," cannot be evaluated as true or false based solely on the content of the statement. In logic, a conditional statement is considered to be true unless a situation occurs where the first part (the antecedent) is true and the second part (the consequent) is false.

Here, the statement "the snow is white" is true, but the statement "the grass is red" can be false, as grass is typically green. This illustrates an important logical principle where the truthfulness of a conditional does not require that the consequent actually follows from the antecedent. To evaluate the truth of a conditional statement, it would be more appropriate to look for a counterexample that disproves it or involves a scenario where the antecedent is true and the consequent is false.

The perimeter and area of the fountain comprising two semicircles and a quarter circle can be calculated using principles of circle geometry, adding respective perimeter parts for the total perimeter and summing up the areas of each part for the total area. The perimeter calculation includes the semicircles' straight edges, while the area computation combines semicircle and quarter circle areas.

To calculate the perimeter and area of a fountain composed of two semicircles and a quarter circle, we first need to acknowledge that all parts of this shape are derived from circles. Therefore, understanding the properties of a circle is crucial. The formula for the perimeter (circumference) of a whole circle is 2πr, and the formula for the area is πr², where r is the radius of the circle.

To find the perimeter of the given shape, add the perimeters of the two semicircles and a quarter circle. Since the perimeter of a semicircle is πr and there are two, their combined perimeter is 2πr. The perimeter of a quarter circle is πr/2. Therefore, the total perimeter of the shape would be 2πr + πr/2. The straight edges that close the semicircles also contribute to the perimeter, which are diameters of the circles (ϐ2r for each semicircle), resulting in an additional 2r + 2r = 4r to the total perimeter.

For the area, sum the areas of two semicircles and a quarter circle. The area of a semicircle is πr²/2, so together, two semicircles have an area of πr². The area of a quarter circle is πr²/4. Thus, the total area of the shape is πr² + πr²/4 = 5πr²/4.

To find the exact values, you would substitute the specific radius (r) of the circles that constitute the fountain, and calculate using π ≈ 3.14. Make sure to round the perimeter to the nearest tenth of a foot and the area to the nearest square foot as instructed.

The solution to the mathematical inequality equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

In order to find the solution to the equation 0.35x - 4.8 < 5.2 - 0.9x, you first need to rearrange the terms in the equation such that all terms involving x are on one side of the inequality and the other terms are on the other side. Starting with: 0.35x - 4.8 < 5.2 - 0.9x, if we add 0.9x to both sides we get 0.35x + 0.9x < 5.2 - 4.8, which simplifies to 1.25x < 10.

Next, to isolate 'x' we divide through by 1.25, which gives us: x < 10/1.25 which simplifies to x < 8. Therefore the answer to the equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

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Answer:

Part A) The quantities are [tex]30\ piece\ of\ sushi[/tex] and [tex]20\ bagels[/tex]

Part B) [tex]\$80[/tex]

Part C) The income effect is a loss of [tex]\$20[/tex]

Step-by-step explanation:

Part A)

Let

x-----> the number of piece of sushi

y----> the original number of bagels

we know that

[tex]2x=60[/tex] ------> [tex]x=30\ piece\ of\ sushi[/tex]

[tex]2y=40[/tex] ------> [tex]y=20\ bagels[/tex]

Part B) At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)?

Bagels

[tex]20(1)=\$20[/tex]

Sushi

[tex]30(2)=\$60[/tex] -----> is the same

The total cost is

[tex]\$20+\$60=\$80[/tex]

so

The same quantities would have cost [tex]\$80[/tex]

Part C) Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Find the difference

[tex]\$100-\$80=\$20[/tex]

therefore

The income effect is a loss of [tex]\$20[/tex]

The points listed which has the same distance from the x axis as the point (8, 3.25) is B- (7, -3.25).

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given is a point in the XY plane with the coordinates (8, 3.25).

We have to find the point in the options which are at a same distance as the given point.

In order for two points to be at a same distance from the x axis, their y coordinates must be same with either same sign or of the opposite sign.

Here the point with the same y coordinate as the given point is B- (7, -3.25)

Hence option B is correct.

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Here we are given two types of data : Time and Temperature.

We can plot one of these on x axis and the other on y axis.

So we can use a line graph here.

Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Sure! If Melvin has [tex]\( \frac{1}{2} \)[/tex] of a cake and he wants to share it equally with each of his 2 friends and himself, we need to find out how much each person gets.

First, we need to find out how many people are sharing the cake. Melvin himself plus his 2 friends make a total of 3 people.

Now, to divide [tex]\( \frac{1}{2} \)[/tex] of the cake equally among 3 people, we divide [tex]\( \frac{1}{2} \)[/tex] by 3:

[tex]\[ \frac{1/2}{3} = \frac{1}{2} \times \frac{1}{3} \][/tex]

To multiply fractions, we multiply the numerators together and the denominators together:

[tex]\[ = \frac{1 \times 1}{2 \times 3} \][/tex]

[tex]\[ = \frac{1}{6} \][/tex]

So, each person gets [tex]\( \frac{1}{6} \)[/tex] of the cake.

Therefore, Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Answer:

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Step-by-step explanation:

We can have the second partial derivatives of w in relation to u, v and uv. So

[tex]w = u^{9} + v^{7}[/tex]

[tex]w_{u} = 9u^{8}[/tex]

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{v} = 7v^{6}[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Final answer:

The second partial derivatives of w = u^9 + v^7 are w_uu = 72u^7, w_uv = 0, and w_vv = 42v^5.

Explanation:

To find all the second partial derivatives of w = u^9 + v^7, we need to differentiate twice with respect to each variable. Let's start:

First, find the first partial derivatives:
wu = 9u^8 (differentiating with respect to u)
wv = 7v^6 (differentiating with respect to v)

Now, take the second partial derivatives:
wuu = 72u^7 (differentiating wu with respect to u)
wuv = 0 (differentiating wu with respect to v)
wvv = 42v^5 (differentiating wv with respect to v)

So, the second partial derivatives of w = u^9 + v^7 are wuu = 72u^7, wuv = 0, and wvv = 42v^5.

Answer: B

Step-by-step explanation:

plato

Answer:

The next payday is on the: 26th of that month.

Step-by-step explanation:

You process paychecks for your company.

Paydays are 2 weeks apart, on Fridays.

2 weeks apart means 14 days apart.

The first payday in one month is on the 12th.

Therefore, The next payday is on the: [tex]12+14=26[/tex]

26th of that month.

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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The correct options are:

1. The equation of a given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. According to the equation of a line: y≥-x-3

You may use the slope-intercept form to graph inequalities. The slope-intercept form is expressed as y = mx + b, where the variable m stands for the slope of the line, and b stands for the y-intercept (or in which the line crosses the y-axis).

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Answer:

1 and 4 are correct

Step-by-step explanation:

The number is 21.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

5/7 of M = 15

This can be written as,

(5/7)M = 15

M = 15 x 7/5

M = 3 x 7

M = 21

Thus,

The number is 21.

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Answer: